' - - 1 ]0 [ " " : : sby@ee.bgu.ac.il sby@ee.bgu.ac.ilSpring 2007 ' '' ' - -- - ' '' ' - -- - Introduction ' - - 2 ]0 [ , : " " ) : ( ) ( ) ( ' - - 3 ]0 [ 1 ' - - 4 ]0 [ : , , , , , SPICE , - High Learn :www.ee.bgu.ac.il/~angcirc ' - - 5 ]0 [ 2 - 3 / / ' - - 6 ]0 [ ' " - 2006 1-4 ) (2 ' - 1 ]- 1 [ " " : : sby@ee.bgu.ac.il sby@ee.bgu.ac.ilSpring 2007 ' - ' - 1. Ideal Op. Amp, Feedback ' - 2 ]- 1 [Ideal Operational Amplifier.1 ) V K(V Vout + = ' - 3 ]- 1 [.1 .2 ) V K(V Vout + = K0KVVout =Ideal Operational Amplifier 3 ' - 4 ]- 1 [.1 .2 .3 ) V K(V Vout + = K inR0KVVout =Ideal Operational Amplifier ' - 5 ]- 1 [.1 .2 .3 .4 0) V K(V Vout + = K0 Rout 0KVVout =Ideal Operational Amplifier inR ' - 6 ]- 1 [.1 .2 .3 .4 0.5 ) V K(V Vout + = K BW0KVVout =Ideal Operational Amplifier 0 Rout inR4 ' - 7 ]- 1 [.1 .2 .3 .4 0.5 ... : ) V K(V Vout + = K BWIdeal Operational Amplifier 0 Rout inR ' - 8 ]- 1 [Inverting Amp. inininRVI =fininoutRRVV =infinoRRVV = ( )( )( ) j Zj ZjVVinfino = Virtual Ground ' - 9 ]- 1 [Non Inverting Amp2 12o inR RRV V+=+ =+= 1RRRR RVV2122 1ino( )( ) ( )( ) j Zj Z j ZjVV22 1ino+= 5 ' - 10 ]- 1 [in22inR22 1in oVRRVRR RV V2= =+= - Buffer+-R2VinR1Voi(-)=0 ' - 11 ]- 1 [infinoZZVV =1 R SCRSC1RSC1RZf fffffff+=+=f fpC R1 =ff pRC 1=f fpC R 21f=dBinfRR 1 , ' - 12 ]- 1 [22 1inoZZ ZVV +=222CR s 1RZ+=dB22 1RR R +( )2 1R R C 21f=( ) 1 C sRRR RVVeq22 1ino++= 2 1 eqR R R = 2 , 6 ' - 13 ]- 1 [( )2 1cR R C 21f = , DC ' - 14 ]- 1 [in1inxRRVV = 3 ' - 15 ]- 1 [ : 7 ' - 16 ]- 1 [ 3 ' - 17 ]- 1 [2 11oxR ZZVV+=+ =12in1inoutZR1RRVVin1inxRRVV =( ) 1 C sRRR RVVeqin2 1ino++=2 1 eqR R R = 3 - ' - 18 ]- 1 [f[Hz]A[dB]+20dB/decdB in2 1RR R +)C R (R 21f2) 1= , 8 ' - 19 ]- 1 [inVVfVoV1R2RinVOLASinSfS+-outSOLOLinoCLA 1ASSA += =1SS1 A inoOL=>> OL1 A inoASSOL= infin finf inf1 A inoRRR RRR RRGSSOL=++= =>> OLOLinoCLA 1A GSSA + = = - ' - 23 ]- 1 [) A 20log(120log 20logAOL OL = 1 A 120log 20logAOL OL= =0OLOLffj 1AA0+=OLOLCLA 1AA += - 1 AOL < ' - 24 ]- 1 [ OLOLinoCLA 1A GSSA + = =10 ' - 25 ]- 1 [ +-inR K 1C 1 . 02R K 10fR M 1inVoV ' - 26 ]- 1 [1.6Hz10 0.1 10 21C R 21f6 6f1 ==160Hz10 0.1 10 21C R 21f6 422 ==( )0.911K10KR R RR RGin 2 f2 f += +-inR K 1C 1 . 02R K 10fR M 1inVoV ' - 27 ]- 1 [ inR K 1C 1 . 02R K 10fR M 1inVoV11 ' - 1 ]- 2 [ " " : : sby@ee.bgu.ac.il sby@ee.bgu.ac.ilSpring 2007 ' - ' - 2. Feedback, CFA, Stability ' - 2 ]- 2 [+-x100 x1000 x1Differential AmplifierIntermediate stageOutput AmplifierVoltage Feedback Amplifier (VFA) ' - 3 ]- 2 [1 1 CFA 12 ' - 4 ]- 2 [RIeR1 1 eqCinV2R1RoVOLAoutSSinSfSinSG+- ?AOL CFA ' - 5 ]- 2 [2 1 e0 VininR R R1VIGo+= ==o V2 R1 Re R in Iin Vf IeR2 1R || R2 12oR RRV+ G ? ?2 1 e2 120 VofR R RR RRVIin++= == RIeR1 1 eqC inV2R1RoV ' - 6 ]- 2 [22 12 1 e2 122 1 eRR RR R RR RRR R R1G +=+++=2 1 2 1 eR R , R , R R